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vaieri [72.5K]
3 years ago
6

What is |1-8i|? A. B. C D

Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0

9514 1404 393

Answer:

  (b) √65

Step-by-step explanation:

The modulus of a complex number is the root of the sum of the squares of the real and imaginary parts.

  |1 -8i| = √(1² +(-8)²) = √(1+64) = √65

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Deffense [45]
Start by laying out the 12.
The neighbors of 12 must be 11 and 10.
The neighbor of 11 must be 9, and the neighbor of 10 must be 8, and so on and so forth, until you get a unique arrangement.

3 0
3 years ago
Write a polynomial function of least degree with the given zero. -1+ √ 2, √ 3
kirill115 [55]

Answer:

f(x) = x^{4} + 2x³ - 4x² - 6x + 3

Step-by-step explanation:

Note that radical zeros occur in conjugate pairs, thus

- 1 + \sqrt{2} is a zero then - 1 - \sqrt{2} is also a zero

\sqrt{3} is a zero then - \sqrt{3} is also a zero

Thus the corresponding factors are

(x - (- 1 + \sqrt{2}) ), (x - (- 1 - \sqrt{2}) ), (x - \sqrt{3}), (x - (- \sqrt{3})), that is

(x + 1 - \sqrt{2}), (x + 1 + \sqrt{2}), (x - \sqrt{3}), (x + \sqrt{3})

The polynomial is then the product of the roots

f(x) = (x + 1 - \sqrt{2})(x + 1 + \sqrt{2})(x - \sqrt{3})(x + \sqrt{3})

     = ((x + 1)² - (\sqrt{2})²)((x² - (\sqrt{3})²)

     = (x² + 2x + 1 - 2)(x² - 3)

     = (x² + 2x - 1)(x² - 3) ← distribute

     = x^{4} - 3x² + 2x³ - 6x - x² + 3

     = x^{4} + 2x³ - 4x² - 6x + 3

6 0
3 years ago
It cost Chloe $9.20 to send 92 text messages. How many text messages did she send if she spent $18.00?
olya-2409 [2.1K]

Answer:

180 texts

Explanation:

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So each text costs 10 cents.

4 0
3 years ago
A packing box is a rectangular prism with volume 2 m3.
Firlakuza [10]

Answer:

The hight of the box is 1.2 m

Step-by-step explanation:

250cm= 2.5m

100cm= 1m

2.5x1=2.5

3/2.5=1.2

2.5 x 1 x 1.2=3m^{3}

6 0
3 years ago
Pls help if you’re good at trigonometry tysm! Best answer is brainliest!
ExtremeBDS [4]

Answer:

7) a = 65; b = 50

8) c = 125; d = 55; e = 52

9) f = 105

Step-by-step explanation:

7)

a = 65

b + 130 = 180

b = 50

8)

c = 125

d + 125 = 180

d = 55

e = 52

9)

(180 - f) + 32 + (180 - 107) = 180

180 - f + 32 + 180 - 107 = 180

-f + 285 = 180

-f = -105

f = 105

5 0
3 years ago
Read 2 more answers
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